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1010304130120 = 235241502120873
BaseRepresentation
bin11101011001110101101…
…00011001110001001000
310120120202211110110200221
432230322310121301020
5113023100324130440
62052043255435424
7132664164261505
oct16547264316110
93516684413627
101010304130120
1135a51638540a
12143978985b74
137436ac9b95c
1436c82b364ac
151b43119bd4a
hexeb3ad19c48

1010304130120 has 64 divisors (see below), whose sum is σ = 2283180585840. Its totient is φ = 402345369600.

The previous prime is 1010304130103. The next prime is 1010304130139. The reversal of 1010304130120 is 210314030101.

1010304130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 709708523364 + 300595606756 = 842442^2 + 548266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010304130094 and 1010304130103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48392004 + ... + 48412876.

Almost surely, 21010304130120 is an apocalyptic number.

1010304130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010304130120 is an abundant number, since it is smaller than the sum of its proper divisors (1272876455720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010304130120 is a wasteful number, since it uses less digits than its factorization.

1010304130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146 (or 26142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010304130120 its reverse (210314030101), we get a palindrome (1220618160221).

The spelling of 1010304130120 in words is "one trillion, ten billion, three hundred four million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 5021 9640 10042 20084 20873 25105 40168 41746 50210 83492 100420 104365 166984 200840 208730 417460 834920 1210061 2420122 4840244 5030393 6050305 9680488 10060786 12100610 20121572 24201220 25151965 40243144 48402440 50303930 100607860 104803333 201215720 209606666 419213332 524016665 838426664 1048033330 2096066660 4192133320 25257603253 50515206506 101030413012 126288016265 202060826024 252576032530 505152065060 1010304130120